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Preface | |

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Introduction | |

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Reference Tables | |

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We Can Work Together | |

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Pretest 1 | |

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Number Symbols We Use | |

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Counting and Tallying | |

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One-Digit, Two-Digit, and Larger Numbers | |

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Each Place Has a Value | |

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Even Nothing Means Something | |

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Old Number Systems Still Influence Us | |

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Chapter Test 1 | |

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Answers and Explanations to Chapter Test 1 | |

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Answers to Pretest and Practice Exercises | |

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It All Adds Up! | |

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Pretest 2A | |

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Whole Numbers | |

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The Language of Addition | |

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Help from the Number Line | |

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Nothing Is Still Important | |

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Unequal Place Addition | |

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No Addition Problem Is Long | |

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Word Problems | |

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Chapter Test 2A | |

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Answers to Chapter Test 2A | |

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Answers to Pretest 2A and Practice Exercises | |

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Pretest 2B | |

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Every Number Has Its Place | |

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Place Value and Column Addition | |

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Longer Columns of Numbers | |

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When the Columns Are Broken | |

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Know the Combinations | |

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More Difficult Word Problems Requiring Addition | |

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More Problems with Addition | |

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Chapter Test 2B | |

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Answers and Explanations to Chapter Test 2B | |

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Answers to Pretest 2B and Practice Exercises | |

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Take It Away! Subtraction | |

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Pretest 3 | |

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What Happens in Subtraction? | |

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The Language of Subtraction | |

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Help from the Number Line | |

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Unequal Place Subtraction | |

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Word Problems | |

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Subtraction by Addition | |

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Numbers Can Be Exchanged | |

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Exchanging in Subtraction | |

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More Difficult Word Problems Requiring Subtraction | |

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Chapter Test 3 | |

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Answers and Explanations to Chapter Test 3 | |

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Answers to Pretest and Practice Exercises | |

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Remember Those Times? Multiplication | |

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Pretest 4 | |

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Multiplication Is Repeated Addition | |

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Help from the Number Line | |

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Multiplying Whole Numbers | |

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Those Old Combinations Again | |

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Multiplying by a One-Digit Number | |

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Word Problems | |

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Multiplying by a Number Having Two or More Digits | |

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Multiplication Applied to Measuring | |

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More Difficult Word Problems Requiring Multiplication | |

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Chapter Test 4 | |

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Answers and Explanations to Chapter Test 4 | |

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Answers to Pretest and Practice Exercises | |

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Let's Divide It Up! | |

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Pretest 5 | |

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What Is Division? | |

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The Language of Division | |

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You Still Need Those Combinations | |

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Help from the Number Line | |

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Dividing by a One-Digit Number | |

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When the Quotient Contains Fewer Places Than the Dividend | |

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Zero as a Place Holder | |

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Dividing and Leaving a Remainder | |

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Carrying Remainders | |

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Word Problems Requiring Division | |

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Dividing by More Than a One-Digit Number | |

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More Difficult Word Problems Requiring Division | |

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Mean, Median, and Mode | |

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Division Applied to Area Measurement | |

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Chapter Test 5 | |

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Answers and Explanations to Chapter Test 5 | |

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Answers to Pretest and Practice Exercises | |

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The Important Parts-Fractions | |

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Pretest 6 | |

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What Is a Fraction? | |

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The Language of a Fraction | |

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What Kinds of Fractions Are There? | |

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Simplifying Fractions | |

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Equivalent Fractions | |

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Which Fraction Is Larger or Smaller? | |

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Changing Improper Fractions to Mixed Numbers | |

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Changing Mixed Numbers to Improper Fractions | |

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Chapter Test 6 | |

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Answers and Explanations to Chapter Test 6 | |

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Answers to Pretest and Practice Exercises | |

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Piece by Piece-Adding Fractions | |

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Pretest 7 | |

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Fractions Can Be Added | |

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After Adding, What Next? | |

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Fractions Whose Sum Is One | |

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Fractions Whose Sum Is Greater Than One | |

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Mixed Numbers Can Also Be Added | |

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Mixed Numbers Whose Sum May Be Simplified | |

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Mixed Numbers Whose Fractional Parts Add Up to One | |

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Mixed Numbers with Fractional Parts Whose Sum Is Greater Than One | |

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Word Problems | |

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What About Those Denominators? | |

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Mixing Them All Up | |

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More Difficult Word Problems | |

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Chapter Test 7 | |

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Answers and Explanations to Chapter Test 7 | |

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Answers to Pretest and Practice Exercises | |

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Subtracting Fractions | |

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Pretest 8 | |

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Subtracting Fractions | |

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After Subtracting, What Next? | |

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Like Fractions Whose Difference Is One or Greater Than One | |

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Mixed Numbers Can Also Be Subtracted | |

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Exchanging in Subtracting Fractions | |

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Exchanging in Subtracting Mixed Numbers (Like Denominators) | |

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Word Problems | |

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Subtracting Fractions with Unlike Denominators | |

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Subtracting Mixed Numbers | |

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Exchanging in Subtracting Mixed Numbers (Unlike Denominators) | |

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More Difficult Word Problems | |

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Chapter Test 8 | |

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Answers and Explanations to Chapter Test 8 | |

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Answers to Pretest and Practice Exercises | |

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Multiplying and Dividing Fractions | |

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Pretest 9A | |

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The Product of Two Fractions | |

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Cancellation | |

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Finding Parts of Whole Numbers | |

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Multiplying Three or More Fractions | |

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Multiplying Mixed Numbers | |

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Word Problems | |

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Chapter Test 9A | |

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Answers and Explanations to Chapter Test 9A | |

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Answers to Pretest 9A and Practice Exercises | |

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Pretest 9B | |

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The Quotient of Two Fractions | |

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Dividing Mixed Numbers | |

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Word Problems | |

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Chapter Test 9B | |

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Answers and Explanations to Chapter Test 9B | |

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Answers to Pretest 9B and Practice Exercises | |

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What's the Point? Decimals | |

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Pretest 10 | |

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Introducing Decimals | |

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Reading and Writing Decimals | |

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Which Fraction Equals Which Decimal? | |

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Comparing Decimals | |

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Rounding Off Decimals | |

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Chapter Test 10 | |

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Answers and Explanations to Chapter Test 10 | |

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Answers to Pretest and Practice Exercises | |

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Adding and Subtracting Decimals | |

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Pretest 11A | |

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Adding Decimals | |

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Adding Mixed Decimals | |

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Word Problems Requiring the Addition of Decimals | |

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Chapter Test 11A | |

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Answers and Explanations to Chapter Test 11A | |

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Answers to Pretest 11A and Practice Exercises | |

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Pretest 11B | |

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Subtracting Decimals | |

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Subtracting Mixed Decimals | |

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Word Problems Requiring the Subtraction of Decimals | |

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Chapter Test 11B | |

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Answers and Explanations to Chapter Test 11B | |

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Answers to Pretest 11B and Practice Exercises | |

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Multiplying Decimals | |

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Pretest 12 | |

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Multiplying a Decimal by a Whole Number | |

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Multiplying Decimal Numbers | |

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Special Multipliers of 10, 100, 1,000, and so on | |

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Word Problems Requiring the Multiplication of Decimals | |

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Chapter Test 12 | |

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Answers and Explanations to Chapter Test 12 | |

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Answers to Pretest and Practice Exercises | |

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Dividing Decimals | |

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Pretest 13 | |

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Dividing a Decimal by a Whole Number | |

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Zero As a Place Holder in the Quotient | |

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Changing a Fraction into a Decimal | |

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Dividing a Decimal by a Decimal | |

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Zero As a Place Holder in the Dividend | |

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Word Problems Requiring the Division of Decimals | |

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Special Divisors of 10, 100, 1,000, and so on | |

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Changing a Decimal into a Fraction | |

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Rewriting Decimals with Fractions | |

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Word Problems Combining Fractions and Decimals | |

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Chapter Test 13 | |

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Answers and Explanations to Chapter Test 13 | |

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Answers to Pretest and Practice Exercises | |

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Percents | |

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Pretest 14 | |

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Meaning of Percent | |

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Changing Percents to Decimals | |

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Changing Decimals to Percents | |

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Changing Percents to Fractions | |

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Changing Fractions to Percents | |

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Finding a Percent of a Number | |

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Finding the Percent That One Number Is of Another | |

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Finding a Number When a Percent of It is Known | |

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Chapter Test 14 | |

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Answers and Explanations to Chapter Test 14 | |

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Answers to Pretest and Practice Exercises | |

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Measurement | |

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Pretest 15 | |

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Units of Measurement | |

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Adding Measures | |

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Subtracting Measures | |

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Multiplying Measures | |

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Dividing Measures | |

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Word Problems Requiring Measures | |

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Converting Metric Measures | |

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Chapter Test 15 | |